Home / 1,040.24-1,563.96-972.56

Finding the Fourth Proportional to 1,040.24, 1,563.96 and 972.56

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Solution

The fourth proportional to 1,040.24, 1,563.96 and 972.56 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.24 : 1,563.96 = 972.56 : x
  2. Step 2: Convert to fraction form
    1,040.24/1,563.96 = 972.56/x
  3. Step 3: Cross multiply
    1,040.24x = 1,563.96 × 972.56
  4. Step 4: Simplify right side
    1,040.24x = 1,521,044.94
  5. Step 5: Solve for x
    x = 1,521,044.94/1,040.24
  6. Step 6: Final answer
    x = 1,462.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.